A large plate of 0.5 m thickness and constant thermal conductivity of k=60 W/m-K in which heat is generated uniformly at a rate of 2 kW/cm?. One side of the plate is heavily insulated so that there is no heat loss from the insulated side of the plate. The other side of the plate is exposed to the environment at T= 25°C with convection heat transfer coefficient is 20 W/m2-K. a) Express the differential equation and the boundary conditions for steady operating conditions. b) Determine the variation of temperature in the plate. c) Find the inner and outer surface temperatures of plate.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A large plate of 0.5 m thickness and constant thermal conductivity of k=60 W/m•K
in which heat is generated uniformly at a rate of 2 kW/cm³. One side of the plate is heavily
insulated so that there is no heat loss from the insulated side of the plate. The other side of the
plate is exposed to the environment at T= 25°C with convection heat transfer coefficient is 20
W/m2-K.
a) Express the differential equation and the boundary conditions for steady operating
conditions.
b) Determine the variation of temperature in the plate.
c) Find the inner and outer surface temperatures of plate.
Transcribed Image Text:A large plate of 0.5 m thickness and constant thermal conductivity of k=60 W/m•K in which heat is generated uniformly at a rate of 2 kW/cm³. One side of the plate is heavily insulated so that there is no heat loss from the insulated side of the plate. The other side of the plate is exposed to the environment at T= 25°C with convection heat transfer coefficient is 20 W/m2-K. a) Express the differential equation and the boundary conditions for steady operating conditions. b) Determine the variation of temperature in the plate. c) Find the inner and outer surface temperatures of plate.
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